Paul Houston
Orcid: 0000-0002-3588-2029
According to our database1,
Paul Houston
authored at least 46 papers
between 1999 and 2023.
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Bibliography
2023
CoRR, 2023
CoRR, 2023
A divergence free C<sup>0</sup>-RIPG stream function formulation of the incompressible Stokes system with variable viscosity.
CoRR, 2023
Efficient High-Order Space-Angle-Energy Polytopic Discontinuous Galerkin Finite Element Methods for Linear Boltzmann Transport.
CoRR, 2023
2022
SIAM J. Sci. Comput., 2022
Two-grid hp-version discontinuous Galerkin finite element methods for quasilinear elliptic PDEs on agglomerated coarse meshes.
Adv. Comput. Math., 2022
2021
2020
An agglomeration-based massively parallel non-overlapping additive Schwarz preconditioner for high-order discontinuous Galerkin methods on polytopic grids.
Math. Comput., 2020
Eliminating Gibbs phenomena: A non-linear Petrov-Galerkin method for the convection-diffusion-reaction equation.
Comput. Math. Appl., 2020
2019
Gibbs Phenomena for L<sup>q</sup>-Best Approximation in Finite Element Spaces - Some Examples.
CoRR, 2019
The Convection-Diffusion-Reaction Equation in Non-Hilbert Sobolev Spaces: A Direct Proof of the Inf-Sup Condition and Stability of Galerkin's Method.
Comput. Methods Appl. Math., 2019
Presenting and sharing clinical data using the eTRIKS Standards Master Tree for tranSMART.
Bioinform., 2019
Adaptive refinement for hp-Version Trefftz discontinuous Galerkin methods for the homogeneous Helmholtz problem.
Adv. Comput. Math., 2019
2018
SIAM J. Sci. Comput., 2018
An hp-adaptive Newton-discontinuous-Galerkin finite element approach for semilinear elliptic boundary value problems.
Math. Comput., 2018
Fast Numerical Integration on Polytopic Meshes with Applications to Discontinuous Galerkin Finite Element Methods.
J. Sci. Comput., 2018
2017
hp-Adaptive Discontinuous Galerkin Methods for Neutron Transport Criticality Problems.
SIAM J. Sci. Comput., 2017
2016
Comput. Math. Appl., 2016
2015
Goal-Oriented A Posteriori Error Estimation For The Travel Time Functional In Porous Media Flows.
SIAM J. Sci. Comput., 2015
2014
Domain Decomposition Preconditioners for Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains.
J. Sci. Comput., 2014
Goal-oriented adaptive composite discontinuous Galerkin methods for incompressible flows.
J. Comput. Appl. Math., 2014
Comput. Math. Appl., 2014
2013
Preconditioning High-Order Discontinuous Galerkin Discretizations of Elliptic Problems.
Proceedings of the Domain Decomposition Methods in Science and Engineering XX, 2013
hp-Version Composite Discontinuous Galerkin Methods for Elliptic Problems on Complicated Domains.
SIAM J. Sci. Comput., 2013
Two-Grid hp-Version Discontinuous Galerkin Finite Element Methods for Second-Order Quasilinear Elliptic PDEs.
J. Sci. Comput., 2013
2012
Adaptivity and a Posteriori Error Control for Bifurcation Problems III: Incompressible Fluid Flow in Open Systems with O(2) Symmetry.
J. Sci. Comput., 2012
2011
Adaptivity and a Posteriori Error Control for Bifurcation Problems II: Incompressible Fluid Flow in Open Systems with <i>Z</i><sub>2</sub> Symmetry.
J. Sci. Comput., 2011
A Class of Domain Decomposition Preconditioners for <i>hp</i>-Discontinuous Galerkin Finite Element Methods.
J. Sci. Comput., 2011
2010
Adaptive Discontinuous Galerkin Methods for Eigenvalue Problems Arising in Incompressible Fluid Flows.
SIAM J. Sci. Comput., 2010
2009
J. Sci. Comput., 2009
2008
An optimal order interior penalty discontinuous Galerkin discretization of the compressible Navier-Stokes equations.
J. Comput. Phys., 2008
2007
Discontinuous Galerkin Methods for Advection-Diffusion-Reaction Problems on Anisotropically Refined Meshes.
SIAM J. Sci. Comput., 2007
Int. J. Comput. Sci. Math., 2007
2005
Numerische Mathematik, 2005
Energy Norm <i>shape A Posteriori</i> Error Estimation for Mixed Discontinuous Galerkin Approximations of the Stokes Problem.
J. Sci. Comput., 2005
Mixed Discontinuous Galerkin Approximation of the Maxwell Operator: Non-Stabilized Formulation.
J. Sci. Comput., 2005
2004
SIAM J. Numer. Anal., 2004
2003
Adaptive Discontinuous Galerkin Finite Element Methods for Nonlinear Hyperbolic Conservation Laws.
SIAM J. Sci. Comput., 2003
2002
Discontinuous <i>hp</i>-Finite Element Methods for Advection-Diffusion-Reaction Problems.
SIAM J. Numer. Anal., 2002
SIAM J. Appl. Math., 2002
J. Sci. Comput., 2002
2001
<i>hp</i>-Adaptive Discontinuous Galerkin Finite Element Methods for First-Order Hyperbolic Problems.
SIAM J. Sci. Comput., 2001
Math. Comput., 2001
Stabilised hp-Finite Element Approximation of Partial Differential Equations with Nonnegative Characteristic Form.
Computing, 2001
2000
SIAM J. Numer. Anal., 2000
1999
Numerische Mathematik, 1999